Abstract: The present invention relates to a modulating liquid pump. This pump comprises an inlet port for receiving a liquid and an outlet port for delivering said liquid, an electromagnetic pump placed between the inlet port and the outlet port and comprising a piston for pumping said liquid, said modulating pump further including a regulating means, for regulating the pressure of the liquid. This pump is noteworthy in that said regulating means is of the electric type and is capable of regulating the travel of said piston according to an electrical setpoint signal (Vc). Application to fuel oil burners.